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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Simultaneous Time-Frequency Control of Friction-Induced Instability

Journal of Applied Nonlinear Dynamics 3(3) (2014) 227--244 | DOI:10.5890/JAND.2014.09.003

Meng-Kun Liu; C. Steve Suh

Photomechanics Lab Mechanical Engineering Department Texas A& M University College Station, TX, 77843-3123 USA

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Abstract

An elastic cantilever beam pressed against a rigid rotating disk is explored for studying the mitigation of self-excited friction-induced vibrations that are inherently unstable due to alternating friction conditions and decreasing dynamic friction characteristics. Because no linearization or approximation scheme is followed, the genuine characteristics of the system including stick-slip and inherent discontinuities are fully disclosed without any distortion. It is shown that the system dynamics is stable only within certain ranges of the relative velocity. With increasing relative velocity, the response loses its stability with diverging amplitude and broadening spectrum. A novel time-frequency controller is subsequently applied to negate the chaotic vibration at high relative velocity by adjusting the applied normal force. The controller design requires no closed-form solution or transfer function, hence allowing the underlying features of the discontinuous system to be fully established and properly controlled. The inception of chaotic response at high relative velocity is effectively denied to result in the restoration of the system back to a relatively stable state of limit-cycle.

Acknowledgments

This research received no specific grant from any funding agency in the public, commercial or not-forprofit sectors.

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